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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Rings with FZP


Authors: P. R. Fuchs, C. J. Maxson and G. F. Pilz
Journal: Trans. Amer. Math. Soc. 349 (1997), 1271-1284
MSC (1991): Primary 16S36; Secondary 16U10, 11R04
MathSciNet review: 1370641
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Abstract: In this paper we investigate the problem of characterizing those rings \begin{math}R\end{math} such that every nonzero polynomial with coefficients from \begin{math}R\end{math} has a finite number of zeros in \begin{math}R\end{math}. Particular attention is directed to the class of skew polynomial domains.


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Additional Information

P. R. Fuchs
Affiliation: Institut für Mathematik, Johannes Kepler Universität, A-4040 Linz, Austria
Email: peter.fuchs@jk.uni-linz.ac.at

C. J. Maxson
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
Email: cjmaxson@math.tamu.edu

G. F. Pilz
Affiliation: Institut für Mathematik, Johannes Kepler Universität, A-4040 Linz, Austria
Email: guenter.pilz@jk.uni-linz.ac.at

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01695-4
PII: S 0002-9947(97)01695-4
Keywords: Ring, polynomial, zero
Received by editor(s): August 15, 1994
Received by editor(s) in revised form: July 12, 1995
Dedicated: In Memoriam Professor J. R. Clay
Article copyright: © Copyright 1997 American Mathematical Society